Disjoint maximal invariant subspaces

Malcolm Jay Sherman

Vol. 40 (1972), No. 2, 373–374

DOI: 10.2140/pjm.1972.40.373

Abstract

THEOREM. If there exists a maximal invariant subspace of H_ℋ² not of codimension 1, then there exists an uncountable family {ℳ_α} of maximal invariant subspaces such that ℳ_α ∩ℳ_β = (0) if α≠β.

Mathematical Subject Classification 2000

Primary: 47A15

Milestones

Received: 22 July 1970

Published: 1 February 1972